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I Eigenspectra and Empirical Orthogonal Functions

  1. Apr 8, 2016 #1
    Are the Eigenspectra (a spectrum of eigenvalues) and the Empirical Orthogonal Functions (EOFs) the same?

    I have known that both can be calculated through the Singular Value Decomposition (SVD) method.

    Thank you in advance.
     
  2. jcsd
  3. Apr 13, 2016 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
  4. May 2, 2016 #3
    Hi there. Eigenspectra is a spuctrum of eigenvalues. eigenvalues are values of a scalar 364442fc3d24dc6d566c98cfa307b1f0.png so that [PLAIN]https://upload.wikimedia.org/math/3/6/4/364442fc3d24dc6d566c98cfa307b1f0.pngx=Bx. [Broken] B is any given function. The eigenvalues of a matrix J can be found by finding det( J - [PLAIN]https://upload.wikimedia.org/math/3/6/4/364442fc3d24dc6d566c98cfa307b1f0.pngI). [Broken] empirical orthogonal functions are a means of decomposing a dataset in terms of orthogonal basis functions. This is not what eigenspectra are.

    This is a congenial problem for development for an anorthosite loving kid. i use wolfram alpha to help me with this problem. .
     
    Last edited by a moderator: May 7, 2017
  5. May 3, 2016 #4
    From an article I have been reading, the eigenspectra they discuss can be calculated from a collection of data. They then use these eigenspectra to reconstruct some parts of the data.

    ##E = a_1 \hat{e}_1 + a_2 \hat{e}_2 + a_3 \hat{e}_3 + \cdots##,

    where ##E## is the reconstructed signal, ##a_1, a_2, a_3, ...## are coefficients, and ##\hat{e}_1, \hat{e}_2, \hat{e}_3, ...## are what they call the eigenspectra. Isn't this also how the Empirical Orthogonal Functions are used to reconstruct a signal or data?
     
  6. May 23, 2016 #5

    Stephen Tashi

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    Is the article available online ? What's the article about ?
     
  7. May 30, 2016 #6
    The article's title is "Accuracy of Spectrum Estimate in Flourescence Spectral Microscopy with Spectral Filters". The article is about the reconstruction of a sample's spectrum.
     
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